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Lance L. Littlejohn
Articles in Scholarly Journals [Incomplete List]
A construction of real weight functions for certain orthogonal polynomials in two variables
Journal of Mathematical Analysis and Applications, vol. 319, no. 2, pp. 475–493, 2006
Sobolev orthogonal polynomials in two variables and second order partial differential equations
Journal of Mathematical Analysis and Applications, vol. 322, no. 2, pp. 1001–1017, 2006
Construction of differential operators having Bochner–Krall orthogonal polynomials as eigenfunctions?
Journal of Mathematical Analysis and Applications, vol. 324, no. 1, pp. 285–303, 2006
Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform
Integral Transforms and Special Functions, vol. 17, no. 12, pp. 845–862, 2006
Additional spectral properties of the fourth-order Bessel-type differential equation
Mathematische Nachrichten, vol. 278, no. 12-13, pp. 1538–1549, 2005
The Fourth-order Bessel-type Differential Equation
Applicable Analysis, vol. 83, no. 4, pp. 325–362, 2004
On analytic sampling theory1
Journal of Computational and Applied Mathematics, vol. 171, no. 1-2, pp. 235–246, 2004
The Sobolev orthogonality and spectral analysis of the Laguerre polynomials Ln-k for positive integers k1
Journal of Computational and Applied Mathematics, vol. 171, no. 1-2, pp. 199–234, 2004
Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression
Journal of Computational and Applied Mathematics, vol. 148, no. 1, pp. 213–238, 2002
Journal of Computational Analysis and Applications, vol. 4, no. 4, pp. 363–387, 2002
A General Left-Definite Theory for Certain Self-Adjoint Operators with Applications to Differential Equations
Journal of Differential Equations, vol. 181, no. 2, pp. 280–339, 2002
Orthogonal Polynomial Solutions of Spectral Type Differential Equations: Magnus' Conjecture,
Journal of Approximation Theory, vol. 112, no. 2, pp. 189–215, 2001
Orthogonal polynomial solutions of linear ordinary differential equations
Journal of Computational and Applied Mathematics, vol. 133, no. 1-2, pp. 85–109, 2001
Transactions of the American Mathematical Society, vol. 353, no. 09, pp. 3629–3648, 2001
Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions
Rocky Mountain Journal of Mathematics, vol. 31, no. 3, pp. 899–937, 2001
The left-definite spectral theory for the classical Hermite differential equation
Journal of Computational and Applied Mathematics, vol. 121, no. 1-2, pp. 313–330, 2000
H. J. S. Smith and the Fermat Two Squares Theorem
The American Mathematical Monthly, vol. 106, no. 7, p. 652, 1999
An integral operator inequality with applications
Journal of Inequalities and Applications, vol. 3, no. 3, pp. 245–266, 1999
Differential equations having orthogonal polynomial solutions
Journal of Computational and Applied Mathematics, vol. 80, no. 1, pp. 1–16, 1997
New characterizations of classical orthogonal polynomials
Indagationes Mathematicae, vol. 7, no. 2, pp. 199–213, 1996
Zeros of orthogonal polynomials in certain discrete Sobolev spaces
Journal of Computational and Applied Mathematics, vol. 67, no. 2, pp. 309–325, 1996
Differential equations and Sobolev orthogonality
Journal of Computational and Applied Mathematics, vol. 65, no. 1-3, pp. 173–180, 1995
The symmetric form of the Koekoeks' Laguerre type differential equation
Journal of Computational and Applied Mathematics, vol. 57, no. 1-2, pp. 115–121, 1995
The Laguerre Type Operator in a Left Definite Hilbert Space
Journal of Mathematical Analysis and Applications, vol. 192, no. 2, pp. 460–468, 1995
Sobolev Orthogonal Polynomials and Spectral Differential Equations
Transactions of the American Mathematical Society, vol. 347, no. 9, p. 3629, 1995
On Recurrence Relations for Sobolev Orthogonal Polynomials
SIAM Journal on Mathematical Analysis, vol. 26, no. 2, p. 446, 1995
SIAM Journal on Mathematical Analysis, vol. 25, no. 3, Article ID 0525054, 1994
Characterization of Classical Type Orthogonal Polynomials
Proceedings of the American Mathematical Society, vol. 120, no. 2, p. 485, 1994
Real orthogonalizing weights for Bessel polynomials
Journal of Computational and Applied Mathematics, vol. 49, no. 1-3, pp. 51–57, 1993
Orthogonal polynomials and extensions of Copson's inequality
Journal of Computational and Applied Mathematics, vol. 48, no. 1-2, pp. 33–48, 1993
Orthogonal polynomials and approximation in Sobolev spaces
Journal of Computational and Applied Mathematics, vol. 48, no. 1-2, pp. 69–90, 1993
Discrete Inequalities, Orthogonal Polynomials and the Spectral Theory of Difference Operators
Proceedings of the Royal Society: Mathematical and Physical Sciences (1990-1995), vol. 437, no. 1900, pp. 355–373, 1992
SIAM Journal on Mathematical Analysis, vol. 23, no. 3, Article ID 0523037, 1992
The left-definite Legendre type boundary problem
Constructive Approximation, vol. 7, no. 1, pp. 485–500, 1991
Symmetry factors for differential equations with applications to orthogonal polynomials
Acta Mathematica Hungarica, vol. 56, no. 1-2, pp. 57–63, 1990
Symmetric and Symmetrisable Differential Expressions
Proceedings of the London Mathematical Society, vol. s3-60, no. 2, pp. 344–364, 1990
Orthogonal polynomials and higher order singular Sturm-Liouville systems
Acta Applicandae Mathematicae, vol. 17, no. 2, pp. 99–170, 1989
Distributional solutions of the hypergeometric differential equation
Journal of Mathematical Analysis and Applications, vol. 122, no. 2, pp. 325–345, 1987
On the classification of differential equations having orthogonal polynomial solutions â?? II
Annali di Matematica Pura ed Applicata, vol. 149, no. 1, pp. 77–102, 1987
On the classification of differential equations having orthogonal polynomial solutions
Annali di Matematica Pura ed Applicata, vol. 138, no. 1, pp. 35–53, 1984
Symmetry Factors for Differential Equations
The American Mathematical Monthly, vol. 90, no. 7, p. 462, 1983